329220 has 72 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 83520.

The previous prime is 329209. The next prime is 329233. The reversal of 329220 is 22923.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 329193 and 329202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329220.

It is an unprimeable number.

329220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5551 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2³²⁹²²⁰ is an apocalyptic number.

329220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

329220 is an abundant number, since it is smaller than the sum of its proper divisors (719100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329220 is a wasteful number, since it uses less digits than its factorization.

329220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 329220 is about 573.7769601509. The cubic root of 329220 is about 69.0497435883.

The spelling of 329220 in words is "three hundred twenty-nine thousand, two hundred twenty".